4 citations · 4 across the 5 of their papers we have counts for
5 papers
Algebraically integrable bodies and related properties of the Radon transform
Mark Agranovsky, Jan Boman, Alexander Koldobsky +2
Generalizing Lemma 28 from Newton's ``Principia", Arnold asked for a complete characterization of algebraically integrable domains. In this paper we describe the current state of A…
A hypersurface containing the support of a Radon transform must be an ellipsoid. I
Jan Boman
If the Radon transform of a compactly supported distribution in is supported on the set of tangent planes to the boundary of a bounded convex d…
Stability estimates with a priori bound for the inverse local Radon transform
Joel Andersson, Jan Boman
We consider the inverse problem for the -dimensional weighted local Radon transform , where is supported in and $R_m[f](ξ,η)=\int f(x, ξx + η) m(ξ, η, x)…
Microlocal analysis of an ultrasound transform with circular source and receiver trajectories
Gaik Ambartsoumian, Venky P. Krishnan, Eric Todd Quinto
In this article, we consider a generalized Radon transform that comes up in ultrasound reflection tomography. In our model, the ultrasound emitter and receiver move at a constant d…
Support theorems for the Radon transform and Cramér-Wold theorems
Jan Boman, Filip Lindskog
This article presents extensions of the Cram{é}r-Wold theorem to measures that may have infinite mass near the origin. Corresponding results for sequences of measures are presented…